Measures of departure from marginal homogeneity model in square contingency tables

Year 2018, Volume: 11 Issue: 2, 93 - 108, 31.12.2018

Gökçen Altun , Serpil Aktaş

Abstract

In this study, the measures representing the departure from MH model is introduced for square contingency tables and standard errors of these measures is calculated. These measures lies between (-1,1) and represent the departure degree from MH model. Three real data sets are used as the illustrative examples. While the measures of departure are calculated for each category, the categories causing the departure from the MH model can be obtained and interpreted.

Keywords

Square contingency tables, marginal homogeneity model, departure measure

Karesel olumsallık tablolarında marjinal homojenlik modelinden sapma ölçüleri

Abstract

In this study, the measures representing the departure from MH model is introduced for square contingency tables and standard errors of these measures is calculated. These measures lies between (-1,1) and represent the departure degree from MH model. Three real data sets are used as the illustrative examples. While the measures of departure are calculated for each category, the categories causing the departure from the MH model can be obtained and interpreted.

Keywords

Karesel olumsallık tablosu, marjinal homojenlik modeli, sapma ölçüsü

References

• [1] Agresti, A. 2010, Analysis of ordinal categorical data (Vol. 656). John Wiley & Sons.
• 2] Stuart, A., 1955, A test for homogeneity of the marginal distributions in a two-way classification. Biometrica 42, 412-416
• [3] Tahata, K., Iwashita, T., Tomizawa, S., 2008, Measure of departure from conditional marginal homogeneity for square contingency tables with ordered categories. Statistics, 42(5), 453-466
• [4] Lawal, B, H, ,2008 On Fitting the Conditional Difference Asymmetry Models to Square Contingency Tables with Nominal Categories, Quality & Quantity, 42(5), 605-612.
• [5] Yamamoto, K., Ando, S., & Tomizawa, S, 2011. A Measure of Departure from Average Margınal Homogeneıty for Square Contıngency Tables wıth Ordered Categorıes. REVSTAT–Statistical Journal, 9(2), 115-126.
• [6] Tahata, K. , Kawasaki, K. , Tomizawa S., 201) Asymmetry Index on Marginal Homogeneity for Square Contingecy Tables with Ordered Categories. Open Journal of Statistics, Vol:2 Page:198-203
• [7] Agresti, A., 2003 Categorical data analysis (Vol. 482). John Wiley & Sons.
• [8] Turkish Statistical Institute (TÜİK) Marriage and Divorce Statistics 1991,2001,2011